{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sklearn.svm\n",
    "import seaborn as sns\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['__globals__', 'X', 'y', '__version__', '__header__'])\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.9643</td>\n",
       "      <td>4.5957</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.2753</td>\n",
       "      <td>3.8589</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.9781</td>\n",
       "      <td>4.5651</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.9320</td>\n",
       "      <td>3.5519</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.5772</td>\n",
       "      <td>2.8560</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       X1      X2  y\n",
       "0  1.9643  4.5957  1\n",
       "1  2.2753  3.8589  1\n",
       "2  2.9781  4.5651  1\n",
       "3  2.9320  3.5519  1\n",
       "4  3.5772  2.8560  1"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = sio.loadmat('./data/ex6data1.mat')\n",
    "print(mat.keys())\n",
    "data = pd.DataFrame(mat.get('X'), columns=['X1', 'X2'])\n",
    "data['y'] = mat.get('y')\n",
    "\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# visualize data\n",
    "pay attention to the edge case at the left hand side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x112cee390>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArUAAAIkCAYAAAAAmtOnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112cbc0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "ax.scatter(data['X1'], data['X2'], s=50, c=data['y'], cmap='Reds')\n",
    "ax.set_title('Raw data')\n",
    "ax.set_xlabel('X1')\n",
    "ax.set_ylabel('X2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# try $C=1$\n",
    "http://scikit-learn.org/stable/modules/generated/sklearn.svm.LinearSVC.html#sklearn.svm.LinearSVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98039215686274506"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svc1 = sklearn.svm.LinearSVC(C=1, loss='hinge')\n",
    "svc1.fit(data[['X1', 'X2']], data['y'])\n",
    "svc1.score(data[['X1', 'X2']], data['y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['SVM1 Confidence'] = svc1.decision_function(data[['X1', 'X2']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1151d5ac8>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqAAAAIPCAYAAACsdmz+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x101fc36d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "ax.scatter(data['X1'], data['X2'], s=50, c=data['SVM1 Confidence'], cmap='RdBu')\n",
    "ax.set_title('SVM (C=1) Decision Confidence')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# try $C=100$\n",
    "with large C, you try to overfit the data, so the left hand side edge case now is categorized right"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98039215686274506"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svc100 = sklearn.svm.LinearSVC(C=100, loss='hinge')\n",
    "svc100.fit(data[['X1', 'X2']], data['y'])\n",
    "svc100.score(data[['X1', 'X2']], data['y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['SVM100 Confidence'] = svc100.decision_function(data[['X1', 'X2']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x115247b00>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqAAAAIPCAYAAACsdmz+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112db9a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "ax.scatter(data['X1'], data['X2'], s=50, c=data['SVM100 Confidence'], cmap='RdBu')\n",
    "ax.set_title('SVM (C=100) Decision Confidence')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "      <th>y</th>\n",
       "      <th>SVM1 Confidence</th>\n",
       "      <th>SVM100 Confidence</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.9643</td>\n",
       "      <td>4.5957</td>\n",
       "      <td>1</td>\n",
       "      <td>0.799366</td>\n",
       "      <td>3.485448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.2753</td>\n",
       "      <td>3.8589</td>\n",
       "      <td>1</td>\n",
       "      <td>0.381775</td>\n",
       "      <td>1.622359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.9781</td>\n",
       "      <td>4.5651</td>\n",
       "      <td>1</td>\n",
       "      <td>1.374058</td>\n",
       "      <td>4.537510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.9320</td>\n",
       "      <td>3.5519</td>\n",
       "      <td>1</td>\n",
       "      <td>0.519575</td>\n",
       "      <td>1.440891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.5772</td>\n",
       "      <td>2.8560</td>\n",
       "      <td>1</td>\n",
       "      <td>0.333060</td>\n",
       "      <td>0.077828</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       X1      X2  y  SVM1 Confidence  SVM100 Confidence\n",
       "0  1.9643  4.5957  1         0.799366           3.485448\n",
       "1  2.2753  3.8589  1         0.381775           1.622359\n",
       "2  2.9781  4.5651  1         1.374058           4.537510\n",
       "3  2.9320  3.5519  1         0.519575           1.440891\n",
       "4  3.5772  2.8560  1         0.333060           0.077828"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
